A Fixed Point Theorem (Classic Reprint)

Walter T. Kyner

ISBN 10: 1332748155 / ISBN 13: 9781332748150

Published by Forgotten Books, 2016

About this Item

Print on Demand. This book provides a groundbreaking fixed point theorem with far-reaching implications in perturbation theory. The theorem unifies and extends previous results by Hufford and Marcus, offering a comprehensive framework for analyzing the behavior of dynamical systems under small disturbances. The author meticulously establishes the conditions under which a unique fixed point exists and demonstrates its continuous dependence on system parameters. The book culminates in a rigorous proof of the theorem, showcasing its significance in the study of differential equations and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781332748150_0

Bibliographic Details

• Title: A Fixed Point Theorem (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2016
• Language: English
• ISBN 10: 1332748155
• ISBN 13: 9781332748150
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

Fixed-point ideas for advanced math problems

This book from A Fixed Point Theorem by Walter T. Kyner surveys how fixed-point results tie to differential equations, invariant functions, and Lipschitz conditions. It shows how existence and uniqueness can come from careful operator analysis and compactness arguments.

• Learn how linear transforms and inverses are used to build a fixed point for a function.
• See how Schauder’s theorem helps establish existence on a carefully chosen compact set.
• Understand how Lipschitz constants and uniform bounds ensure stability and continuous dependence on parameters.
• Discover connections to Marcus’ and Hufford’s results and how they influence the approach.

Ideal for readers of advanced mathematics and applied analysis who want a rigorous view of fixed-point methods in differential equations.